C-b=6
solve for c
c=b+6
substitute b+6 for c
b+c=10
b+(b+6)=10
2b=4
b=2
substitute that in to find C
c-b=6
c-2=6
c=8
a+b+c=18
a+2+8=18
a+10=18
a=8
so a=8, b=2, c=8
Answer:
The value of the angles are 38° and 52° respectively
Let the acute angles be represented by a and b.
Based in the information given,
a = 2(b - 12)
a = 2b - 24.
Note that the angle in an acute angle equals to 90°.
Therefore,
a = 90 - b.
a = 2b - 24
Equate the equations together
90 - b = 2b - 24
2b + b = 90 + 24
3b = 114
b = 114/3
b = 38
Therefore, a will be:
= 90° - 38° = 52°
The value of the angles are 38° and 52° respectively.
Step-by-step explanation:
3/45 = 20/x...3 in to 45 seconds = 20 in to x seconds
cross multiply
(3)(x) = (45)(20)
3x = 900
x = 900/3
x = 300...300 seconds (or 5 minutes)to fill the tub with 20 inches
Step-by-step explanation:
Find the values of x and y to determine how many solutions.
Use the elimination method. Add both of the equations.
<u>Sum:</u>
<u />
<u>Divide each side by 3:</u>
<u />
<u />
<u>Substitute y = -(1/3) into the first equation:</u>
<u />
<u>Multiply:</u>
<u />
<u>Add 2 to both sides:</u>
-5x = 0
We can determine:
(0, -1/3)
The system of equations have 1 solution.
<u />
Answer:
the simple multiplier is equal to 4
Step-by-step explanation:
Given that:
Y= C + I + G + (X - M)
the average expenditure Y must be equal to the totality of the output
If C = 3 + 0.75Y
here;
the marginal propensity consumed MPC = 0.75
Then,
Y = 3 + 0.75Y + 2 + 1
Y = 6+0.75 Y
Y - 0.75 Y = 6
0.25 Y = 6
Y = 6/0.25
Y = 24
However, the simple multiplier can be expressed as:
=
= 4